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Manipal MET2018MathematicsDefinite Integration

₀^ 2 ^n ^n + ^n d is equal to

Options

  1. A1
  2. B0
  3. C2
  4. D4

Correct answer

D. 4

Step-by-step solution

aligned & Let I= ₀^ / 2 ^n ^n + ^n d ....(i) & = ₀^ / 2 ^n( / 2- ) ^n( / 2- )+ ^n( / 2- ) d & = ₀^ / 2 ^n ^n + ^n d ....(ii) aligned On adding Eqs. (i) and (ii), we get 2 I= ₀^ / 2 ^n + ^n ^n + ^n d = ₀^ / 2 d = 2 I= 4

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